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Analog Digital Belief Propagation
IEEE Communications Letters, 2012We introduce a message passing belief propagation (BP) algorithm for factor graph over linear models that uses messages in the form of Gaussian-like distributions. With respect to the regular Gaussian BP, the proposed algorithm adds two operations to the model, namely the wrapping and the discretization of variables.
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Relaxed Gaussian Belief Propagation
2012 IEEE International Symposium on Information Theory Proceedings, 2012The Gaussian Belief Propagation (GaBP) algorithm executed on Gaussian Markov Random Fields can take a large number of iterations to converge if the inverse covariance matrix of the underlying Gaussian distribution is ill-conditioned and weakly diagonally dominant. Such matrices can arise from many practical problem domains.
Yousef El-Kurdi +2 more
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Decoding with belief propagation
2009AbstractThis chapter revisits the problem of decoding low density parity check (LDPC) codes. The maximum a posteriori probability (MAP) decoding of a bit is described as a statistical inference problem, and belief propagation is applied to its solution.
Marc Mézard, Andrea Montanari
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Recursive Belief Propagation --- Belief Propagation in a Well-order
Acta Automatica Sinica, 2010Feng CHEN, Hong LIU, Wen-Li XU
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Belief propagation: technical perspective
Communications of the ACM, 2010Yair Weiss, Judea Pearl
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Sparse Matrix Belief Propagation
2018We propose sparse-matrix belief propagation, a modified form of loopy belief propagation that encodes the structure of a graph with sparse matrices. Our modifications replace a potentially complicated design of indexing over graph neighborhoods with more optimized and easily interpretable sparse-matrix operations.
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